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Finding the Fourth Proportional to 87,289.64, 130,991.86 and 47,874.42

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Solution

The fourth proportional to 87,289.64, 130,991.86 and 47,874.42 is: 71,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,289.64 : 130,991.86 = 47,874.42 : x
  2. Step 2: Convert to fraction form
    87,289.64/130,991.86 = 47,874.42/x
  3. Step 3: Cross multiply
    87,289.64x = 130,991.86 × 47,874.42
  4. Step 4: Simplify right side
    87,289.64x = 6,271,159,322.22
  5. Step 5: Solve for x
    x = 6,271,159,322.22/87,289.64
  6. Step 6: Final answer
    x = 71,843.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.